Equilibrium

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Equilibrium

• For the thermally isolated system, this is the
  condition of maximum entropy dS0
• For a system in contact with a heat bath, this is
  the condition of minimum Helmholtz free energy
  dF0

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Changes in the free energy per nucleon
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Lagrange Multipliers
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Maximization Problem

• Maximize f(x,y)-x2-y2
• Answer x0, y0

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Extremum with constraint

• Maximize f(x,y)-x2-y2
• subject to xy1

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NSE

• Minimize f at constant temperature and density
• Constraints

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QSE

• Minimize f at constant temperature, density, and
  number of heavy nuclei
• Constraints

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